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Finding the Fourth Proportional to 6,465.70, 8,922.43 and 3,952.02

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Solution

The fourth proportional to 6,465.70, 8,922.43 and 3,952.02 is: 5,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.70 : 8,922.43 = 3,952.02 : x
  2. Step 2: Convert to fraction form
    6,465.70/8,922.43 = 3,952.02/x
  3. Step 3: Cross multiply
    6,465.70x = 8,922.43 × 3,952.02
  4. Step 4: Simplify right side
    6,465.70x = 35,261,621.81
  5. Step 5: Solve for x
    x = 35,261,621.81/6,465.70
  6. Step 6: Final answer
    x = 5,453.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.